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Chapter 11: Q. 285 (page 1157)

In the following exercises, graph each ellipse.

9x2+y2=9

Short Answer

Expert verified

The required graph of ellipse is

Step by step solution

01

Step 1. Given Information

The given equation is9x2+y2=9

02

Step 2. Calculation 

We will first write the equation in standard form.

9x2+y29=99x2+y29=1

As 9>1and 9 is in the y2term. So, the major axis is vertical.

The end points of the major axis.

b2=9b=卤9b=卤3

The end points of major axis are (0,-3)and(0,3)

The end points of minor axis.

a2=1a=卤1a=卤1

The end points of minor axis are(-1,0)and(1,0)

03

Step 3. Graph

The graph of ellipse is shown below,

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